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On Conditional Tsallis Entropy [PDF]
Entropy, 2021 There is no generally accepted definition for conditional Tsallis entropy. The standard definition of (unconditional) Tsallis entropy depends on a parameter α that converges to the Shannon entropy as α approaches 1.
Andreia Teixeira +2 more
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Tsallis Entropy, Escort Probability and the Incomplete Information Theory
Entropy, 2010 Non-extensive statistical mechanics appears as a powerful way to describe complex systems. Tsallis entropy, the main core of this theory has been remained as an unproven assumption. Many people have tried to derive the Tsallis entropy axiomatically. Here
Parvin Sadeghi +3 more
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Further Properties of Tsallis Entropy and Its Application
Entropy, 2023 The entropy of Tsallis is a different measure of uncertainty for the Shannon entropy. The present work aims to study some additional properties of this measure and then initiate its connection with the usual stochastic order. Some other properties of the
Ghadah Alomani, Mohamed Kayid
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On a new generalized Tsallis relative operator entropy
Mathematics in Applied Sciences and Engineering, 2023 In this paper, we present a generalization of Tsallis relative operator entropy defined for positive operators and we investigate some related properties.
Lahcen Tarik +2 more
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Some Properties of Fractal Tsallis Entropy
Fractal and Fractional, 2023 We introduce fractal Tsallis entropy and show that it satisfies Shannon–Khinchin axioms. Analogously to Tsallis divergence (or Tsallis relative entropy, according to some authors), fractal Tsallis divergence is defined and some properties of it are ...
Vasile Preda, Răzvan-Cornel Sfetcu
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2D Tsallis Entropy for Image Segmentation Based on Modified Chaotic Bat Algorithm
Entropy, 2018 Image segmentation is a significant step in image analysis and computer vision. Many entropy based approaches have been presented in this topic; among them, Tsallis entropy is one of the best performing methods.
Zhiwei Ye +5 more
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Entropy, 2021 Tsallis introduced a non-logarithmic generalization of Shannon entropy, namely Tsallis entropy, which is non-extensive. Sati and Gupta proposed cumulative residual information based on this non-extensive entropy measure, namely cumulative residual ...
Muhammed Rasheed Irshad +3 more
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Cumulative Residual Tsallis Entropy-Based Test of Uniformity and Some New Findings
Mathematics, 2022 The Tsallis entropy is an extension of the Shannon entropy and is used extensively in physics. The cumulative residual Tsallis entropy, which is a generalization of the Tsallis entropy, plays an important role in the measurement uncertainty of random ...
Mohamed S. Mohamed +3 more
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Some New Results Involving Past Tsallis Entropy of Order Statistics
Entropy, 2023 This work focuses on exploring the properties of past Tsallis entropy as it applies to order statistics. The relationship between the past Tsallis entropy of an ordered variable in the context of any continuous probability law and the past Tsallis ...
Mansour Shrahili, Mohamed Kayid
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Entropy, 2022 In this paper, we propose to quantitatively compare loss functions based on parameterized Tsallis–Havrda–Charvat entropy and classical Shannon entropy for the training of a deep network in the case of small datasets which are usually encountered in ...
Thibaud Brochet +11 more
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